My teaching methods are going to be the lecture method and the inductive method. From my experience in preparing students for entry into the university, I have discovered that combination of these two methods makes the Maths subject more simplified.
My lecture method is delivered through a speech as this is the generalized way to pass on information, as the tutor takes part as the active participant while the student is mainly at the receiving end with questions asked intermittently.
Secondly my inductive method is more of a scientific approach in which we proceed from known to unknown, from specific to general and from example to rule or formula. In this method based on induction, students are presented some similar examples or problems related to one particular domain. Then students try to establish a formula, rule, law or principal by observing them. If a generalised result is true for those similar examples or problems then it would also be true for all other such kind of examples. This method is useful to introduce a new mathematical concept along with a formula or rule and it helps the student to think logically and make the learning environment more interesting.
My Inductive method is used to establish laws, principals, formulas and methods instead of solving mathematical problems. Therefore it can be used in all branches of mathematics but establishing laws or formulas at the secondary level is only involved in algebra, matrices and to some extent geometry as the case may be.